Baklouti, Ali and Thangavelu, Sundaram (2018) HARDY AND MIYACHI THEOREMS FOR HEISENBERG MOTION GROUPS. In: NAGOYA MATHEMATICAL JOURNAL, 229 . pp. 1-20.
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Official URL: http://dx.doi.org/10.1017/nmj.2016.58
Abstract
Let G = H-n x K be the Heisenberg motion group, where K = U(n) acts on the Heisenberg group H-n = C-n x R by automorphisms. We formulate and prove two analogues of Hardy's theorem on G. An analogue of Miyachi's theorem for G is also formulated and proved. This allows us to generalize and prove an analogue of the Cowling-Price uncertainty principle and prove the sharpness of the constant 1/4 in all the settings.
| Item Type: | Journal Article |
|---|---|
| Publication: | NAGOYA MATHEMATICAL JOURNAL |
| Publisher: | CAMBRIDGE UNIV PRESS |
| Additional Information: | Copy right for this article belong to CAMBRIDGE UNIV PRESS |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 11 Oct 2018 13:53 |
| Last Modified: | 11 Oct 2018 13:53 |
| URI: | http://eprints.iisc.ac.in/id/eprint/60864 |
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